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34kurt
3 years ago
11

Can you help me answer part B? I dont understand.

Mathematics
2 answers:
iVinArrow [24]3 years ago
8 0
7x5 I think I’m not shire
Alex73 [517]3 years ago
7 0
She is going to read 7 books and each book is 5 points so 7*5=35 points.
A division equation would be 35 divided by 7=5.
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What is the solution of
kobusy [5.1K]

Answer:

Third option: x=0 and x=16

Step-by-step explanation:

\sqrt{2x+4}-\sqrt{x}=2

Isolating √(2x+4): Addind √x both sides of the equation:

\sqrt{2x+4}-\sqrt{x}+\sqrt{x}=2+\sqrt{x}\\ \sqrt{2x+4}=2+\sqrt{x}

Squaring both sides of the equation:

(\sqrt{2x+4})^{2}=(2+\sqrt{x})^{2}

Simplifying on the left side, and applying on the right side the formula:

(a+b)^{2}=a^{2}+2ab+b^{2}; a=2, b=\sqrt{x}

2x+4=(2)^{2}+2(2)(\sqrt{x})+(\sqrt{x})^{2}\\ 2x+4=4+4\sqrt{x}+x

Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

2x+4-4-x=4+4\sqrt{x}+x-4-x\\ x=4\sqrt{x}

Squaring both sides of the equation:

(x)^{2}=(4\sqrt{x})^{2}\\ x^{2}=(4)^{2}(\sqrt{x})^{2}\\ x^{2}=16 x

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

x^{2}-16x=16x-16x\\ x^{2}-16x=0

Factoring: Common factor x:

x (x-16)=0

Two solutions:

1) x=0

2) x-16=0

Solving for x: Adding 16 both sides of the equation:

x-16+16=0+16

x=16

Let's prove the solutions in the orignal equation:

1) x=0:

\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(0)+4}-\sqrt{0}=2\\ \sqrt{0+4}-0=2\\ \sqrt{4}=2\\ 2=2

x=0 is a solution


2) x=16

\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(16)+4}-\sqrt{16}=2\\ \sqrt{32+4}-4=2\\ \sqrt{36}-4=2\\ 6-4=2\\ 2=2

x=16 is a solution


Then the solutions are x=0 and x=16


5 0
3 years ago
Amy bought 5lbs., 11oz. Of turkey cold cuts and 6lb., 12 oz. Of ham cold cuts. How much did she buy total? You should convert an
Alenkinab [10]

Answer:

12.5lb

Step-by-step explanation:

5lbs+6lb=11lb

11oz+12oz=1.5lbs

11lb+1.5lb=12.5

7 0
3 years ago
Read 2 more answers
⅔ divided by ⅙ i need help
Aleonysh [2.5K]

2/3 / 1/6

When dividing by a fraction, flip the second fraction over and change divide to multiply:

2/3 x 6/1 = (2 x6) / (3 x 1) = 12/3 = 4

The answer is 4

7 0
3 years ago
Men’s heights are normally distributed with a mean of 71.8 inches and a standard deviation of 3.4 inches. A social organization
nadya68 [22]

Answer: 2.28%

Step-by-step explanation:

μ = 71.8

σ = 3.4

X < 65

P(X < 65) = P (Z < 65 - 71.8/3.4) = P (Z < -2)

According to the table for the normal distribution attached, it will give us

P (z < Z < 0), this way, to find the P(Z < z), we need to do 0.5 - P:

0.5 - P(-2 < Z < 0) = 0.5 - 0.4772 = 0.0228

In percentage: 0.0228*100 = 2.28%

8 0
3 years ago
How do i solve 6y-5=-3(2y+1)
ziro4ka [17]
<span>6y-5=-3(2y+1)
6y - 5 = -6y - 3
12y = -3 + 5
12y = 2
    y = 2/12
    y = 1/6</span>
3 0
3 years ago
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